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16660 = 2257217

16660 has 36 divisors (see below), whose sum is σ = 43092. Its totient is φ = 5376.

The previous prime is 16657. The next prime is 16661. The reversal of 16660 is 6661.

It is a happy number.

16660 is nontrivially palindromic in base 13 and base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 9604 + 7056 = 98^2 + 84^2 .

16660 is a nontrivial repdigit in base 13.

It is a plaindrome in base 13.

It is a nialpdrome in base 7, base 13 and base 14.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 972 + ... + 988.

It is an arithmetic number, because the mean of its divisors is an integer number (1197).

216660 is an apocalyptic number.

16660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21546).

16660 is an abundant number, since it is smaller than the sum of its proper divisors (26432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16660 is a wasteful number, since it uses less digits than its factorization.

16660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 16660 is about 129.0736224021. The cubic root of 16660 is about 25.5402414725.

Subtracting from 16660 its sum of digits (19), we obtain a square (16641 = 1292).

Subtracting from 16660 its reverse (6661), we obtain a palindrome (9999).

It can be divided in two parts, 16 and 660, that added together give a palindrome (676).

The spelling of 16660 in words is "sixteen thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 16660